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If `alpha , beta ` are the roots of ` x^2 -(a-2) x- (a +1) =0` where a is a variable then the least value of ` alpha ^2 + beta ^2 ` is

A

2

B

3

C

5

D

7

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1B (QUADRATIC EXPRESSIONS)
  1. IF x in R then (2a (x-1) sin ^2 alpha ) /( x^2 - sin alpha ) ...

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  2. If a ne b then the expression x^2 - (a +b) x+ ( a^2 - ab +b^...

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  3. If alpha , beta are the roots of x^2 -(a-2) x- (a +1) =0 where...

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  4. IF the sum of the squares of the roots of the equation x^2 -...

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  5. The value of a for which the sum of the squares of the roots ...

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  6. IF the roots of the equation bx^2 + cx + a=0 be imaginary , t...

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  7. The smallest value of of the constant m gt 0 for which f(x) = 9mx - 1 ...

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  8. The real values of a for which y=sqrt(((x+1)(x-3))/(x-2)) tak...

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  9. IF x gt -c then the minimum value of (( a+x) (b +x))/( c+x) ...

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  10. IF x gt -c then the minimum value of (( a+x) (b +x))/( c+x) ...

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  11. For real x , the function ((x-a ) (x-b))/( x-c) will assume al...

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  12. The range of values of x which satisfy 5x + 2 lt 3x +8 and (...

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  13. The range of values of x for which the inequality (x-1) /( 4x ...

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  14. The values of x for which (x-1)/( 3x +4) lt (x-3)/( 3x-2) hold...

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  15. { x in R:(14x)/(x+1)-(9x-30)/(x-4)lt0} is equal to

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  16. IF the inequation sqrt(3x -8) lt -2 then

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  17. if the inequation sqrt(x+5 lt -x then

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  18. If the inequation sqrt( x^2 - 18 x+ 72 ) lt x -1 then

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  19. IF sqrt(9x^2 + 6x +1) lt (2-x) then

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  20. If the inequation sqrt((x+2)(x-5)) gt 8 -x then x lies in

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